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Modified Traces and the Nakayama Functor

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Bibliographic Details
Main Authors: Taiki, Shibata, Kenichi, Shimizu
Format: Book
Language:English
Published: Springer 2023
Subjects:
Proj(M)
Nakayama functor
Online Access:https://link.springer.com/article/10.1007/s10468-021-10102-5
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7410
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spelling oai:localhost:PNK-74102023-04-03T03:32:36Z Modified Traces and the Nakayama Functor Taiki, Shibata Kenichi, Shimizu Proj(M) Nakayama functor CC BY We organize the modified trace theory with the use of the Nakayama functor of finite abelian categories. For a linear right exact functor Σ on a finite abelian category M, we introduce the notion of a Σ-twisted trace on the class Proj(M) of projective objects of M. In our framework, there is a one-to-one correspondence between the set of Σ-twisted traces on Proj(M) and the set of natural transformations from Σ to the Nakayama functor of M. Non-degeneracy and compatibility with the module structure (when M is a module category over a finite tensor category) of a Σ-twisted trace can be written down in terms of the corresponding natural transformation. 2023-04-03T02:17:23Z 2023-04-03T02:17:23Z 2021 Book https://link.springer.com/article/10.1007/s10468-021-10102-5 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7410 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Proj(M)
Nakayama functor
spellingShingle Proj(M)
Nakayama functor
Taiki, Shibata
Kenichi, Shimizu
Modified Traces and the Nakayama Functor
description CC BY
format Book
author Taiki, Shibata
Kenichi, Shimizu
author_facet Taiki, Shibata
Kenichi, Shimizu
author_sort Taiki, Shibata
title Modified Traces and the Nakayama Functor
title_short Modified Traces and the Nakayama Functor
title_full Modified Traces and the Nakayama Functor
title_fullStr Modified Traces and the Nakayama Functor
title_full_unstemmed Modified Traces and the Nakayama Functor
title_sort modified traces and the nakayama functor
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s10468-021-10102-5
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7410
_version_ 1762184301177208832
score 8.881002

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